{"id":"https://openalex.org/W1996544046","doi":"https://doi.org/10.1007/s00224-008-9120-3","title":"Generic Complexity of Presburger Arithmetic","display_name":"Generic Complexity of Presburger Arithmetic","publication_year":2008,"publication_date":"2008-05-27","ids":{"openalex":"https://openalex.org/W1996544046","doi":"https://doi.org/10.1007/s00224-008-9120-3","mag":"1996544046"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-008-9120-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-008-9120-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031384998","display_name":"Alexander Rybalov","orcid":"https://orcid.org/0000-0002-2269-589X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alexander N. Rybalov","raw_affiliation_strings":["Omsk Branch of the Institute of Mathematics of SB RAS, Pevtsova, 13, Omsk, 644099, Russia","Omsk Branch of the Institute of Mathematics of SB RAS, Pevtsova, 13, 644099, Omsk, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Omsk Branch of the Institute of Mathematics of SB RAS, Pevtsova, 13, Omsk, 644099, Russia","institution_ids":[]},{"raw_affiliation_string":"Omsk Branch of the Institute of Mathematics of SB RAS, Pevtsova, 13, 644099, Omsk, Russia#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031384998"],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4129,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65921294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"46","issue":"1","first_page":"2","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.9687201976776123},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.6666021347045898},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5374458432197571},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.535771906375885},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5096035003662109},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47100865840911865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37093499302864075},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36095547676086426},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.34204939007759094},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.26190221309661865},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0936046838760376},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08819422125816345}],"concepts":[{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.9687201976776123},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.6666021347045898},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5374458432197571},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.535771906375885},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5096035003662109},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47100865840911865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37093499302864075},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36095547676086426},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.34204939007759094},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.26190221309661865},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0936046838760376},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08819422125816345},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00224-008-9120-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-008-9120-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1556844982","https://openalex.org/W1963569554","https://openalex.org/W1974784305","https://openalex.org/W1980224569","https://openalex.org/W2104285308","https://openalex.org/W2107786321","https://openalex.org/W2164284862","https://openalex.org/W2401207967","https://openalex.org/W2752853835","https://openalex.org/W6636070404"],"related_works":["https://openalex.org/W2963029392","https://openalex.org/W4297923607","https://openalex.org/W2341851659","https://openalex.org/W1851760673","https://openalex.org/W2958635970","https://openalex.org/W2753142422","https://openalex.org/W2963080453","https://openalex.org/W2561651679","https://openalex.org/W2614001090","https://openalex.org/W2763916671"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
